The relationship between topography and gravity on Earth and Venus

Mathematics

Scientific paper

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Earth Gravitation, Gravitational Fields, Planetary Gravitation, Topography, Venus (Planet), Gravity Anomalies, Indian Ocean, Mathematical Models, Pacific Ocean, Planetary Crusts, Planetary Mantles, Plumes, Volcanoes

Scientific paper

The measurement of the admittance between the topography and the gravity of a planet as a function of wavelength provides important constraints on its interior processes. A detailed discussion of the influence of noise on such measurements shows that at long wavelengths the admittance is best determined in the frequency domain, using gravity as input and topography as output. This procedure is used to estimate the admittance in the Pacific and Indian Oceans. The observed values are reduced by volcanism above plumes, which produces a contribution to the long-wavelength-compensated topography. When this effect is taken into account there is little evidence that the admittance is reduced by the presence of a low viscosity zone in the upper mantle.

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